Can someone please check my work on transformations in exponential functions?

Question

quickstudent · Answer

1. y = 3 * 2^x

A transformation up one unit and right three units.

My answer: y = 3 * (2^x - 3) + 1

the graph is in the attached file.

phi · Answer

yes, if you put the parens like this
y = 3* 2^(x-3) + 1

directrix · Answer

This y = 3 * (2^x - 3) + 1 is y = 3*2^x -8.

Compared with the given function: y = 3 * 2^x

it appears that the graph dropped 8 units and did not shift to the right.

quickstudent · Answer

Ok, here's all my corrections:

1. y = 3 * 2^x

A transformation up one unit and right three units.

My answer: y = 3 * 2^(x - 3) + 1

the graph is in the attached file.

quickstudent · Answer

@phi

phi · Answer

yes, that is ok

quickstudent · Answer

Thanks
Can you please check two more?

quickstudent · Answer

2. y = (0.5)^x

A transformation down five units and left two units.

My answer: y = (0.5)^(x+2) - 5

Here's the graph:

phi · Answer

yes

quickstudent · Answer

Ok:) one more

3. y = 2 * 3^x

A transformation up 4 units and left 3 units.

My answer: y = 2 * 3^(x + 3) + 4

Graph:

phi · Answer

yes

quickstudent · Answer

:D
Thanks for all your help:)

phi · Answer

yw